Question 181: Waves

Question

A string is clamped at both the ends and it is
vibrating in its 4th harmonic. The equation of the
stationary wave is Y = 0.3 sin(0.157x) cos(200pt).
The length of the string is : (All quantities are
in SI units.)

Accepted Answer

4
th
harmonic
$$4{\lambda  \over 2} = l;2\lambda  = l$$
From equation $${{2\pi } \over \lambda } = 0.157$$
$$\lambda $$ = 40 ; $$l$$ = 2$$\lambda $$ = 80 m

Answer

60 m

Answer

20 m

Answer

80 m

Answer

40 m

Waves

A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is Y = 0.3 sin(0.157x) cos(200pt). The length of the string is : (All quantities are in SI units.)

Choose the correct answer: